The failed Fast and Furious operation attempted selling thousands of guns to arms dealers along the U.S.-Mexico border to trace them to leaders of drug cartels. However, many of them showed up in crime scenes, including where U.S. Border Patrol agent Brian Terry was killed in a shoot out.
Congressional investigators have been trying to determine if and when high-level Justice officials knew about problems with the operation.
Holder said Issa rejected what he thought was "an extraordinary offer."
"We offered the documents that we thought would resolve the subpoenas," he said. "The ball is in their court."
The contempt vote in the oversight committee will likely pass considering Republicans outnumber Democrats 22 to 16.
GOP House leadership has given Issa the green light to proceed how he sees fit, sources told Fox News, which suggests the vote would reach the House floor.
Holder called for the Capitol Hill meeting late Monday in a possible attempt to make a deal with Issa and avoid the contempt vote.